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16045542241 = 19726432
BaseRepresentation
bin11101111000110001…
…11000101101100001
31112102020112000000021
432330120320231201
5230330124322431
611212103353441
71105423600351
oct167430705541
945366460007
1016045542241
116894321413
123139752881
1316893405c1
14ac3028b61
1563d9deb11
hex3bc638b61

16045542241 has 9 divisors (see below), whose sum is σ = 16152525651. Its totient is φ = 15939265272.

The previous prime is 16045542239. The next prime is 16045542283. The reversal of 16045542241 is 14224554061.

The square root of 16045542241 is 126671.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15721398225 + 324144016 = 125385^2 + 18004^2 .

It is not a de Polignac number, because 16045542241 - 21 = 16045542239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16045542197 and 16045542206.

It is not an unprimeable number, because it can be changed into a prime (16045546241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24953866 + ... + 24954508.

Almost surely, 216045542241 is an apocalyptic number.

16045542241 is the 126671-st square number.

16045542241 is the 63336-th centered octagonal number.

It is an amenable number.

16045542241 is a deficient number, since it is larger than the sum of its proper divisors (106983410).

16045542241 is an frugal number, since it uses more digits than its factorization.

16045542241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 16045542241 in words is "sixteen billion, forty-five million, five hundred forty-two thousand, two hundred forty-one".

Divisors: 1 197 643 38809 126671 413449 24954187 81449453 16045542241